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33120331121 is a prime number
BaseRepresentation
bin11110110110001000…
…000010010101110001
310011111012202010222102
4132312020002111301
51020312301043441
623114255350145
72251516112063
oct366610022561
9104435663872
1033120331121
1113056621a89
126503b22355
13317a98b187
141862a15733
15cdca3b69b
hex7b6202571

33120331121 has 2 divisors, whose sum is σ = 33120331122. Its totient is φ = 33120331120.

The previous prime is 33120331117. The next prime is 33120331133. The reversal of 33120331121 is 12113302133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28336672225 + 4783658896 = 168335^2 + 69164^2 .

It is an emirp because it is prime and its reverse (12113302133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33120331121 - 22 = 33120331117 is a prime.

It is a super-2 number, since 2×331203311212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33120331093 and 33120331102.

It is not a weakly prime, because it can be changed into another prime (33120331021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560165560 + 16560165561.

It is an arithmetic number, because the mean of its divisors is an integer number (16560165561).

Almost surely, 233120331121 is an apocalyptic number.

It is an amenable number.

33120331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120331121 is an equidigital number, since it uses as much as digits as its factorization.

33120331121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33120331121 its reverse (12113302133), we get a palindrome (45233633254).

The spelling of 33120331121 in words is "thirty-three billion, one hundred twenty million, three hundred thirty-one thousand, one hundred twenty-one".